In exercises 11–20, find (by hand) all critical numbers and use the First Derivative Test to classify each as the location of a local moximum, local minimum or neither. .3 18. 1+x4
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Q: 1. Sket dh the graph of the cylinder r (y-2)2 in R*. %3D
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Q: acebook; 22 use all three apps. Find how many students use: (a) only Instagram
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Q: + 194y= (1) (7) t. Where U'x) and Vcx) satisfio the ji sten i (3) b) Von= 4x° 4. C) Von. J Vo)= - +C
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Q: [x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69…
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Q: (26. Ax)= x//x² + 1
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Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2 +s+6)(s²+5) 3s-6 5s…
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Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t
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Q: Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general solution…
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Q: Calculate the value of the error with one decimal place for: z = x/y where x = 6.2 +/- 0.3 and y =…
A: Given that,z=xyx=6.2±0.3y=2.0±0.2The error with one decimal place is calculated as shown below.
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Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz.
A: To evaluate the integral we use the parametric equation of line segment joining two points.
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Q: Limit Comparison Test (a). Suppose that E ak and Ebk are series with positive terms. If ak lim = c,…
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Q: Give atleast two examples of each iterative method.
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Q: Evaluate using Laplace Transform: sin 2 f(t) = dt et
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Q: the area outside r = 1 and inside r = 2 cos 0 is 91.433 O 90.433 Other O 90.343 O
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- Determine the function y = eax + b that best fit the datax =(3, 2, 1, 0)T,y =(µ, 1, e,1/e)TAz = Bxm + Cy" – Dx – Ey+14 where x, y, and z are measured in meter. If you are standing at location (10, 30, 40), by performing second derivatives test, identify A, B, C, D, E, m and n such that (10, 30, 40) is i. local max. ii. local min. ii. saddle points.what are the stable equilibria (X1 ,X2)?
- Determine the global extreme values of the function f(x, y) = 2x³ – 4Y, 0< x, y < 1 fmin fma тахFind the interval on which the curve 1 y = dt 5+t+4t2 1 is concave upward. Note: When using interval notation in WeBWorK, you use I for o, -I for -0, and U for the union symba!. Interval =ses/ 49385_1/cl/outline uestion Completion Status: O a. V() - 18,000 Ob.V) - 108,000-18,000r O -18,000r-108,000 Od.)-18,000r + 108,000 O e.V(t) - 108,000 QUESTION 8 Detemine whether the equation defines y as a linear function of x. If so, write it in the for y=mx + 6. + 3y= 0 Oby=-x O e.y is not a linear function of x QUESTION 9 Determine whether the equaticn defines y as a linear function of x. If so, 117ite it in the form y= mx-b. U 0: a linear funouon ofa
- Find a curve fit y = f(x) = Cx-²e^x for the given Q1) a) data using data linearization. %3D b) Calculate E2(f). 1 2 3 4 Yk 2.718 | 1.850 | 2.232 | 3.410II. Let f(x, y, z) = sin x + Determine dydzdrdz² 'Write a plot of a Gaussian function with x-axis range from -3 to +3 and y-axis range from 0 to 1.2
- Differentiate. y =t / (t- 1) 2EXamfle (H-W): let X aned Y are Caye V'S with joi e-w. G Finol the Value ofe. @ Finel PCicXくて→2くりくる) O Finel P(Xxy < 3)ZAE @ P V:ET * Asiacell Il. Done Homewok_37beaa8858587... Plot the following functions 1. y = - V2x +1 2. у%3D (x - 1)3 +2 3. y =-1 4. y2 = 6-x 5. y = 1- |x| 6. y = -x|x|